In ranking the scores 8, 10, 7, 8, 6, and 12, the score of 10 is given a rank of __________.
A) 4
B) 5
C) 6
D) 4.5

Question

Quizplus · Accepted Answer

To rank the scores in descending order, we get: 12, 10, 8, 8, 7, 6. The score of 10 is in the second position, so it has a rank of 2. However, since there are two scores with a rank of 8 (which is the third position), we take the average of those two ranks, which is (3 + 4)/2 = 3.5. Therefore, the score of 10 has a rank of 2 initially, but after accounting for ties, it has a rank of (2 + 3.5)/2 = 2.75, which is closest to B.

In Ranking the Scores 8, 10, 7, 8, 6, and 12